Prime p₀= 2802283000548808967 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 100 2 106 2 166 2 82 2 28 2 (?)
a_n: 0 2 12 14 114 116 222 224 390 392 474 476 504 506
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 506
Found by: herby44
db: batch=82, k=14, 10 100 106 166 82 28

SPT(16)	2802282107152211477	0 6 54 66 122 126 132 156 230 254 260 264 320 332 380 386	-893396597490
STPT(10)	2802282142472572931	0 2 96 98 108 110 120 122 216 218	-858076236036
STPT(10)	2802282215562952061	0 2 30 32 60 62 90 92 120 122	-784985856906
STPT(10)	2802282850197148229	0 2 18 20 30 32 42 44 60 62	-150351660738
TPT(14)	2802282872844927707	0 2 30 32 54 56 240 242 510 512 600 602 630 632	-127703881260
SPT(16)	2802282969789723289	0 24 28 34 42 60 90 94 168 172 202 220 228 234 238 262	-30759085678
SPT(16)	2802283035098627383	0 4 30 88 130 184 198 220 294 316 330 384 426 484 510 514	34549818416
TPT(14)	2802283499776628981	0 2 78 80 150 152 156 158 180 182 240 242 318 320	499227820014
SPT(16)	2802283689515909219	0 48 144 200 218 288 300 330 368 398 410 480 498 554 650 698	688967100252
SPT(16)	2802283914433542661	0 6 72 82 150 156 180 210 358 388 412 418 486 496 562 568	913884733694
SPT(16)	2802284084405353297	0 24 52 84 112 114 124 144 190 210 220 222 250 282 310 334	1083856544330